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Finding the Fourth Proportional to 10,714.05, 16,065.31 and 3,315.33

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Solution

The fourth proportional to 10,714.05, 16,065.31 and 3,315.33 is: 4,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.05 : 16,065.31 = 3,315.33 : x
  2. Step 2: Convert to fraction form
    10,714.05/16,065.31 = 3,315.33/x
  3. Step 3: Cross multiply
    10,714.05x = 16,065.31 × 3,315.33
  4. Step 4: Simplify right side
    10,714.05x = 53,261,804.20
  5. Step 5: Solve for x
    x = 53,261,804.20/10,714.05
  6. Step 6: Final answer
    x = 4,971.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.